1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,10,2,3...
Most terms of the sequence are 1 more than the previous term but some are not. The first two are shown in bold above.
Create the sequence of terms of A007953 that are not 1 more than the previous term.
Prove or disprove: This new sequence is the same as the original sequence.